Brownian Motion on Cantor Sets
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Date
2020
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Publisher
Walter de Gruyter Gmbh
Open Access Color
Green Open Access
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Abstract
In this paper, we have investigated the Langevin and Brownian equations on fractal time sets using F-alpha-calculus and shown that the mean square displacement is not varied linearly with time. We have also generalized the classical method of deriving the Fokker Planck equation in order to obtain the Fokker-Planck equation on fractal time sets.
Description
Ashrafi, Saleh/0000-0003-2426-3051
ORCID
Keywords
F-Alpha-Calculus, Fokker-Planck Equation, Brownian Equation, Langevin Equation, Langevin equation, Fractals, Brownian equation, Fokker-Planck equation, \(F^\alpha \)-calculus, Diffusion processes
Turkish CoHE Thesis Center URL
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Khalili Golmankhaneh, A.; Ashrafi, S.; Baleanu, D.; Fernandez, A.,"Brownian Motion On Cantor Sets",International Journal of Nonlinear Sciences and Numerical Simulation, (2020).
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
2
Source
International Journal of Nonlinear Sciences and Numerical Simulation
Volume
21
Issue
3-4
Start Page
275
End Page
281
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Citations
CrossRef : 2
Scopus : 3
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0.27226096
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